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Finding the Fourth Proportional to 300.37, 450.10 and 138.01

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Solution

The fourth proportional to 300.37, 450.10 and 138.01 is: 206.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.37 : 450.10 = 138.01 : x
  2. Step 2: Convert to fraction form
    300.37/450.10 = 138.01/x
  3. Step 3: Cross multiply
    300.37x = 450.10 × 138.01
  4. Step 4: Simplify right side
    300.37x = 62,118.30
  5. Step 5: Solve for x
    x = 62,118.30/300.37
  6. Step 6: Final answer
    x = 206.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.